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X(3), X(4), X(382)

infinite points of the McCay cubic

common points of pK(X6, X382) and the circumcircle

foci of the inconic with center H

points R0, R1, R2, R3 described in the page K755

A variable line L passing through O is reflected about H in L' (passing through X382). The isogonal transform of L meets L' at two points on K525.

K525 is a central equilateral cubic with three real asymptotes parallel to those of the McCay cubic and concurring at H.

K525 is spK(X3, X4) in CL055. Its isogonal transform is spK(X382, X4).

See K755 and CL066 for other properties and a related net of cubics.